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In this paper, we construct some links between visco model of motion and equations attained by taking geometric differential description of Hasimoto map of pseudo-null curves framed by the Bishop frame and some physical consequences. First, we find that the equations of Hasimoto transformation are occurred by adapting Hasimoto map for pseudo-null curves. Then, we investigate the correspondence of both the Landau-Lifshitz system and the vortex filament equation by means of the Hasimoto map of pseudo-null curves. Lastly, we portray the links of findings obtained by geometric physical issues. Finally, we simulate optical solutions with graphically physical constructions.

In this manuscript, we investigate a new technique to describe the tangent, principal normal, and binormal osculating magnetic and electric flow density in the normal direction in the ordinary space. Based on the computed flow density, we determine the Frenet-Serret vectors of the osculating magnetic and electric flow phase in the normal phase. Then, we consider the modified visco Heisenberg ferromagnetic model to observe the variation when we compare Frenet-Serret vectors of the osculating magnetic and electric flow phase due to the modified visco Heisenberg ferromagnetic. Finally, we determine the existence conditions for describing the field vectors flux surfaces under the osculating evolution equations in the normal direction.

In this paper, we firstly review the quasi uniformly accelerated motion (QUAM) with Fermi derivative by cold plasma in Heisenberg space. We define new quasi uniformly accelerated potential electric energy of quasi normal magnetic biharmonic particles and some Lorentz fields. Moreover, we design the new relationship between the quasi uniformly accelerated motion and the Fermi parallel transportation in cold plasma. Also, we collect new physical geometric designs for a quasi uniformly accelerated motion of normal magnetic biharmonic particles in Heisenberg space. Finally, we construct quasi uniformly accelerated potential electric energy with respect to its electric field and some quasi curvatures. © 2022. All Rights Reserved. The authors would like to express their sincere gratitude to the referees for the valuable suggestions to improve the paper.

In this manuscript, we define optical ferromagnetic microscale with electroosmotic velocity in space. We construct optical electromagnetic quasi phi(t(q)), phi(n(q)), phi(b(q)) -microscale by using magnetic optimistic phi(t(q)), phi(n(q)), phi(b(q)) -density in cold plasma. Also, we obtain electric optimistic density of electroosmotic modeling with ferromagnetic design in cold plasma. Finally, we illustrate axial optical electroosmotic velocity for rotational field of stator quasi field.

In this manuscript, we first compute Lorentz equations with magnetic b-lines in binormal direction in Minkowski space based on novel studies of evolution for magnetic particles. Then, we further calculate the fractional flow equations for magnetic b-lines with inextensible Heisenberg optical antiferromagnetic flow in Minkowski space. Thus, we determine optical soliton surface related with inextensible Heisenberg optical antiferromagnetic flow in Minkowski space. Later, we consider the corresponding magnetic and geometric quantities to describe necessary and sufficient conditions that have to be satisfied by magnetic optical flux surfaces of inextensible Heisenberg optical antiferromagnetic model.

In this manuscript, we construct new expressions for B-2-optical hybrid magnetic flux density by optical hybrid frame. We derive an expression for the optical hybrid electromotive (f)epsilon phi((T)), (f)epsilon(phi(B1)) and (f)epsilon(phi(B2)) or its conditions. Thus, we get new designs for hybrid ferromagnetic optical demonstrated electromotives for flux linked with poles light coils. We discuss the physical interpretation of our optical results. Hybrid optical magnetic flux surfaces are established in optical hybrid uniform magnetic hybrid surface with fractional numerical new optical results. Finally, we obtain some optical solutions by optical applications.

In this paper, we derive new conditions for spherical optical electromagnetic Heisenberg flow S?-density of S?-optical spherical fibers in Heisenberg SH2. Also, we present approximately original constitutions of spherical optical Heisenberg electric flux in antiferromagnetic model in Heisenberg SH2. At the same time, we introduce some determinations for electrical Heisenberg flow of antiferromagnetic microscale with optical electroosmotic potential in Heisenberg SH2. Additionally, electromagnetic S?-density for spherical S?-fluids are constructed in uniform Heisenberg magnetic S?-fluid fibers by optical determinations by using antiferromagnetic model in Heisenberg SH2. © 2021 Elsevier GmbH

In this article, we construct a new design for optical spherical Heisenberg total recursion flux with a normalized microscale in spherical Heisenberg space. Moreover, we demonstrate spherical Heisenberg normalized microscale by Heisenberg recursion operator for some magnetic fibers. Thus, we obtain optical spherical Heisenberg ferromagnetic recursion flux by using optical spherical Heisenberg ferromagnetic normalized microscale in spherical Heisenberg space.

In this article, we present transformation equations for electromagnetic fields of polarized light ray traveling by magnetic optical fiber on De Sitter space S21. Some applications have been supervised by applying the new spherical frame of some Lorentzian spherical systems that are illustrated simultaneously with coiled magnetic optical fiber in De Sitter space S21. Also, we introduce perturbed new solitons for some nonlinear Schroddinger's transformation equations that manages propagation of solitons by electromagnetic fields (M, E). Finally, we present some analytical reproductions to complement the analytical conclusions.

Optically, unit sphere S2 is illustrated to be a 2-sphere in space with positive curvature. In this paper, we construct a new characterization for spherical electric and magnetic flow density of spherical Ss?magnetic flows of particles by the spherical frame in S2 spherical space. Thus, we get some new optical conditions of spherical Ss?magnetic electric and magnetic phase by using spherical magnetic fields. We determine spherical magnetic Lorentz flux for spherical vector fields. The results obtained show that q -HATM supplies an elementary algorithm to gain the approximated analytical solution. Finally, electric and magnetic phases of spherical surface are shown in uniform magnetic surfaces by using the analytical and fractional numerical results of the q-HATM algorithm. © 2021 Elsevier GmbH

In the present article, we give an analysis for spherical electromagnetic flow S??phase of spherical S??flows via spherical optical frame and Heisenberg Landau Lifshitz approach. Also, we define new optical conditions of spherical electromagnetic S??phase via spherical fields. Besides, we generate spherical electromagnetic flux flow S??surfaces by some optical conditions. Finally, electromagnetic S??phases of spherical S??surface are demonstrated by the rotational velocity of the stator field. © 2021 Elsevier GmbH

In this paper, we introduce a new characterization of spherical electric and magnetic flow density of magnetic spherical Heisenberg SH? particle by spherical frame in spherical Heisenberg space SH32. Thus, we get some new optical qualifications of magnetic spherical Heisenberg SH? electric and magnetic phase by using spherical magnetic fields. Also, we demonstrate spherical electric and magnetic flow density for spherical vector fields. Then, their fractional solutions are examined by using magnetic and optical geometric quantities with the conformable fractional derivative modeling. Finally, magnetic spherical HeisenbergSH? electric and magnetic phase of spherical surface are demonstrated in uniform spherical magnetic surface by using analytical and fractional numerical developments. © 2021 Elsevier GmbH

In this article, we define a new concept of spherical optical magnetic density with biharmonic particles in spherical Heisenberg space. Moreover, we construct the optical energy of spherical tangent magnetic biharmonic particles and new Lorentz fields. Furthermore, we show that optical energy and optical magnetic flux density can be stated by Frenet fields in Heisenberg space.

n this paper, we introduce a new characterization of spherical electric and magnetic flow density of magnetic spherical Heisenberg S-H alpha particle by spherical frame in spherical Heisenberg space S-H3(2). Thus, we get some new optical qualifications of magnetic spherical Heisenberg S-H alpha electric and magnetic phase by using spherical magnetic fields. Also, we demonstrate spherical electric and magnetic flow density for spherical vector fields. Then, their fractional solutions are examined by using magnetic and optical geometric quantities with the conformable fractional derivative modeling. Finally, magnetic spherical HeisenbergS(H)alpha electric and magnetic phase of spherical surface are demonstrated in uniform spherical magnetic surface by using analytical and fractional numerical developments.

In the present article, we give an analysis for spherical electromagnetic flow Sα−phase of spherical Sα−flows via spherical optical frame and Heisenberg Landau Lifshitz approach. Also, we define new optical conditions of spherical electromagnetic Sα−phase via spherical fields. Besides, we generate spherical electromagnetic flux flow Sα−surfaces by some optical conditions. Finally, electromagnetic Sα−phases of spherical Sα−surface are demonstrated by the rotational velocity of the stator field. © 2021 Elsevier GmbH

In this study, we derive different characterization for hybrid electric and magnetic flow B1-density of hybrid B1-magnetic particles by hybrid frame in ordinary space. Also, we construct some new optical hybrid conditions of hybrid electric and magnetic B1-phase with hybrid optical fields. We construct hybrid magnetic Lorentz B1-flux for hybrid fields with hybrid Landau Lifshitz approach. Finally, electric and magnetic B1-phases of hybrid B1-surface are presented in uniform magnetic B1-surfaces by optical results with hybrid Landau Lifshitz approach. © 2021 Elsevier GmbH

In this paper, we construct a new theory of spherical electromotive force of spherical Ss-magnetic flows with the spherical frame in spherical Heisenberg space S-H(2). Also, we obtain some optical conditions of spherical Ss-magnetic Lorentz flux by using optical spherical fields in spherical Heisenberg space S-H(2). Moreover, we give some applications of spherical Heisenberg electromotive forces (f)epsilon(H)(phi(alpha)), (f)epsilon(H)(phi(t)), (f)epsilon(H)(phi(s)) for spherical vector fields. Additionally, we compute representation of spherical curvatures of spherical Ss-magnetic flows by considering Heisenberg spherical ferromagnetic spin in spherical Heisenberg space S2 H. Finally, spherical Heisenberg electromotive forces (f)epsilon(H)(phi(alpha)), (f)epsilon(H)(phi(t)), (f)epsilon(H)(phi(s)) are given in a static and uniform magnetic surface with the q -Homotopy analysis transform method in spherical Heisenberg space S-H(2).

In this paper, we first offer the approach of spherical magnetic Lorentz flux of spherical timelikeSN?magneticparticle by the spherical frame in S12 spherical space. Eventually, we obtain some optical conditions of spherical t-magnetic Lorentz flux by using directional spherical fields. Moreover, we determine spherical magnetic Lorentz flux for spherical vector fields. Also, we give new construction for spherical curvatures of spherical timelikeSN?magneticparticle flows by considering Heisenberg spherical ferromagnetic spin. Finally, magnetic flux surface is demonstrated in a static and uniform magnetic surface by using the analytical and numerical results. © 2021 Elsevier GmbH

In this work, Lie symmetry analysis is applied on Lax's fifth-order KdV and Hunter-Saxton equations. By using point symmetry, all of the geometric vector fields of these equations are presented. Then, on the basis of the optimal system, similarity reductions and exact solutions are obtained.

In this article, the residual power series method (RPSM) for solving fractional Klein-Gordon equations is introduced.Residual power series algorithm gets Maclaurin expansion of the solution. The solutions of our equation are computedin the form of rapidly convergent series with easily calculable components by using mathematica software package.Reliability of the method is given with graphical consequences and series solutions. The found consequences showthat the method is a power and efficient method in determination of solution the time fractional Klein-Gordonequations., Bu makalede kesirli Klein-Gordon denklemlerinin çözümleri için Residual Power Seri metodu (RPSM) uygulanmıştır.Residual Power Seri algoritması çözümün Maclaurin açılımını verir. Bu denklemlerin çözümleri, Mathematicaprogramı kullanılarak kolayca hesaplanan bileşenler ile hızlı yakınsak seriler formunda hesaplanmıştır. Metodungüvenilirliği, seri çözümler ve grafik sonuçlar yardımıyla verilmiştir. Bulunan sonuçlar, kullandığımız metodun kesirliKlein-Gordon denklemlerinin seri çözümlerinin belirlenmesinde güçlü ve etkili bir metot olduğunu göstermektedir.

Bu çalışmada, kanser tömörü için modellenen bir difüzyon denkleminin yaklaşık çözümleri incelenmiştir. Çalışmanın temel amacı, Residual kuvvet serisi metodu (RPSM) algoritmasını kullanarak kanser tümörü için modellenen farklı problemleri çözmek ve bulunan sonuçları incelemektir. Yöntemin açıklanması ve güvenirliği göstermek için seri çözümlerin grafiksel sunumları verilmiştir. Bu yöntemin farklı kanser tümör problemlerinin yaklaşık çözümleri için alternatif olarak kullanılabileceği sonucuna varılmıştır. In this study, approximate solutions of a diffusion equation modeled for cancer tumor were investigated. The main purpose of the study is to solve different problems modeled for cancer tumor using the Residual power series method (RPSM) algorithm and to examine the results found. Graphical representations of the serial solutions are given to explain the method and demonstrate its reliability. It has been concluded that this method can be used as an alternative for approximate solutions of different cancer tumor problems.

Bu çalışmada belli bir başlangıç şartından hareketle q-HATM yardımıyla kesirli Schrödinger modelinin seri çözümleri elde edildi. Bulunan çözümler için yakınsaklık analizi yapıldı. Ayrıca elde edilen çözümlerin güvenirliğini göstermek amacıyla ? kesirli mertebesinin farklı değerleri karşılaştırıldı. In this study serial solutions of fractional Schrödinger model is obtained by detemining the initial condition for q-HATM method. Convergence analysis is done for obtained solutions. Additionally various values of ? fractional order are compared to show the accuracy of the computed solutions. 689422

Bu çalışmada, doğrusal olmayan zaman kesirli Genelleştirilmiş RLW denklemini çözmek için Residual kuvvet seri metodu (RPSM) kullanılmaktadır. Çalışmanın temel amacı, conformable türevler yardımıyla RPSM kullanılarak conformable türevler yardımıyla, doğrusal olmayan zaman kesirli Genelleştirilmiş RLW denkleminin sayısal çözümlerini bulmaktır. Ayrıca elde edilen çözümlerin güvenirliğini göstermek amacıyla α ifadesinin farklı değerleri için grafikler çizilmiştir. In this study, Residual power series method(RPSM) is used to solve the nonlinear time fractional Generalized RLW equation. The main purpose of the study is to find numerical solutions of nonlinear time fractional Generalized RLW equation by using RPSM with the help of conformable derivatives. Additionally, in order to show the reliability of the solutions obtained, graphs were drawn for different values of the α expression. 41

Bu tez çalışmasında; gecikmeli sinir ağlarının denge noktasının global asimtotik kararlılığı ele alındı. Birinci bölümde; global asimtotik kararlılık ve sinir ağları hakkında genel bir bilgi verildi. İkinci bölümde; literatürde yapılan çalışmalar özetlendi. Üçüncü bölümde; çalışmada kullanılacak temel kavramlar verilerek Lyapunov metodu hakkında bilgi verildi. Dördüncü bölümde; gecikmeli sinir ağlarını modellendiren iki farklı diferansiyel denklem sisteminin denge noktasının global asimtotik kararlılığı için yeter şartlar Lyapunov'un ikinci metodu kullanılarak elde edildi. Son bölümde; araştırmacılar için bazı denklem modellerinin denge noktasının global asimtotik kararlılığının araştırılması tavsiye edildi. In this thesis; the global asymptotic stability of the equilibrium point of delayed neural networks was studied. In the first chapter; the basic properties of the global asymptotic stability and the neural network were given. In the second chapter; some results which are in the literature were introduced. In the third chapter; the basic notions and main idea about Lyapunov method were exhibited. In the fourth chapter; it was shown that the global asymptotic stability of the equilibrium point of two different systems of differential equations that model delayed neural networks can be obtained by using the second method of Lyapunov. In the last chapter; for the reader to investigating the global asymptotic stability of the equilibrium point of some equation models was advised. 37

Bu tez çalışmasında, lineer olmayan Shrödinger denkleminin gerçek çözümüne yakın yaklaşık çözümler incelenmiştir. Bu çalışma dört bölümden oluşmaktadır. İlk bölüm giriş kısmı olup, bu çalışma ile ilgili ön bilgiler verilmiştir. İkinci bölümde materyal ve yöntem başlığı altında konuya ilişkin temel kavramlar verilmiştir. Daha sonra residual kuvvet serisi metodu başlığı altında uyguladığımız yöntem tanıtılmıştır. RPSM'nin uygulamaları başlığında dört farklı durumda Shrödinger denklemine residual kuvvet serisi metodu uygulanmıştır. Üçüncü bölümde araştırma bulguları başlığı altında Schrödinger denkleminin gerçek çözümünün grafiği dört farklı durumda bulduğumuz yaklaşık çözümlerin grafiği ile karşılaştırılmıştır.Son bölüm olan tartışma ve sonuç bölümünde, burada elde edilen sonuçlar yorumlanmıştır. Sonuçlar, bu yöntemin verimli ve kullanışlı olduğunu ve büyük bir problem türünde uygulanabileceğini göstermiştir. Yaklaşık çözümler, bilinen kesim çözümlerle karşılaştırılmıştır. In this thesis, approximate solutions to the real solution of the nonlinear Shrödinger equation are investigated. This study consists of four parts. The first part is the introduction part and the preliminary information about this work is given. In the second chapter, basic concepts related to the subject are given under the title of material and method. Then, the method we applied under the title of residual force series method was introduced. The residual force series method was applied to the Shrödinger equation in four different cases at the beginning of applications of RPSM. In the third chapter, under the title of research findings, the graph of the true solution of the Schrödinger equation is compared with the graph of approximate solutions we find in four different cases.In the final part of the discussion and conclusion, the results obtained here are interpreted. The results show that this method is efficient and useful and can be applied in the form of a major problem. Approximate solutions were compared with known cut-off solutions. 44